{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Riskfolio-Lib Tutorial: \n",
    "<br>__[Financionerioncios](https://financioneroncios.wordpress.com)__\n",
    "<br>__[Orenji](https://www.orenj-i.net)__\n",
    "<br>__[Riskfolio-Lib](https://riskfolio-lib.readthedocs.io/en/latest/)__\n",
    "<br>__[Dany Cajas](https://www.linkedin.com/in/dany-cajas/)__\n",
    "<a href='https://ko-fi.com/B0B833SXD' target='_blank'><img height='36' style='border:0px;height:36px;' src='https://cdn.ko-fi.com/cdn/kofi1.png?v=2' border='0' alt='Buy Me a Coffee at ko-fi.com' /></a> \n",
    "\n",
    "## Tutorial 31: Hierarchical Portfolios with Custom Covariance\n",
    "\n",
    "## 1. Downloading the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[*********************100%%**********************]  8 of 8 completed\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import yfinance as yf\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "pd.options.display.float_format = '{:.4%}'.format\n",
    "\n",
    "# Date range\n",
    "start = '2016-01-01'\n",
    "end = '2019-12-30'\n",
    "\n",
    "# Tickers of assets\n",
    "assets =  ['IEUR', 'IPAC', 'IVV', 'EWC', 'SCZ', 'IJR', 'XCS.TO', 'EIMI.L']\n",
    "assets.sort()\n",
    "\n",
    "# Downloading data\n",
    "data = yf.download(assets, start = start, end = end)\n",
    "data = data.loc[:,('Adj Close', slice(None))]\n",
    "data.columns = assets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EIMI.L</th>\n",
       "      <th>EWC</th>\n",
       "      <th>IEUR</th>\n",
       "      <th>IJR</th>\n",
       "      <th>IPAC</th>\n",
       "      <th>IVV</th>\n",
       "      <th>SCZ</th>\n",
       "      <th>XCS.TO</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-01-05</th>\n",
       "      <td>0.8804%</td>\n",
       "      <td>-0.4719%</td>\n",
       "      <td>-0.6498%</td>\n",
       "      <td>0.3068%</td>\n",
       "      <td>0.5108%</td>\n",
       "      <td>0.2079%</td>\n",
       "      <td>-0.2627%</td>\n",
       "      <td>-0.2423%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-06</th>\n",
       "      <td>-1.1807%</td>\n",
       "      <td>-2.1811%</td>\n",
       "      <td>-1.7442%</td>\n",
       "      <td>-1.1403%</td>\n",
       "      <td>-1.9695%</td>\n",
       "      <td>-1.3092%</td>\n",
       "      <td>-1.6819%</td>\n",
       "      <td>-0.6478%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-07</th>\n",
       "      <td>-1.9740%</td>\n",
       "      <td>-2.3752%</td>\n",
       "      <td>-1.6741%</td>\n",
       "      <td>-2.5694%</td>\n",
       "      <td>-2.0955%</td>\n",
       "      <td>-2.3928%</td>\n",
       "      <td>-1.5252%</td>\n",
       "      <td>-2.4450%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-08</th>\n",
       "      <td>-2.0668%</td>\n",
       "      <td>-0.4469%</td>\n",
       "      <td>-1.0556%</td>\n",
       "      <td>-1.6651%</td>\n",
       "      <td>-1.4784%</td>\n",
       "      <td>-1.1077%</td>\n",
       "      <td>-1.3395%</td>\n",
       "      <td>0.0835%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-11</th>\n",
       "      <td>-0.7576%</td>\n",
       "      <td>-1.3466%</td>\n",
       "      <td>0.1520%</td>\n",
       "      <td>0.0098%</td>\n",
       "      <td>0.1792%</td>\n",
       "      <td>0.1037%</td>\n",
       "      <td>0.1697%</td>\n",
       "      <td>-3.6728%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             EIMI.L      EWC     IEUR      IJR     IPAC      IVV      SCZ  \\\n",
       "Date                                                                        \n",
       "2016-01-05  0.8804% -0.4719% -0.6498%  0.3068%  0.5108%  0.2079% -0.2627%   \n",
       "2016-01-06 -1.1807% -2.1811% -1.7442% -1.1403% -1.9695% -1.3092% -1.6819%   \n",
       "2016-01-07 -1.9740% -2.3752% -1.6741% -2.5694% -2.0955% -2.3928% -1.5252%   \n",
       "2016-01-08 -2.0668% -0.4469% -1.0556% -1.6651% -1.4784% -1.1077% -1.3395%   \n",
       "2016-01-11 -0.7576% -1.3466%  0.1520%  0.0098%  0.1792%  0.1037%  0.1697%   \n",
       "\n",
       "             XCS.TO  \n",
       "Date                 \n",
       "2016-01-05 -0.2423%  \n",
       "2016-01-06 -0.6478%  \n",
       "2016-01-07 -2.4450%  \n",
       "2016-01-08  0.0835%  \n",
       "2016-01-11 -3.6728%  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculating returns\n",
    "\n",
    "Y = data[assets].pct_change().dropna()\n",
    "\n",
    "display(Y.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>IEUR</th>\n",
       "      <th>IPAC</th>\n",
       "      <th>IVV</th>\n",
       "      <th>EWC</th>\n",
       "      <th>SCZ</th>\n",
       "      <th>IJR</th>\n",
       "      <th>XCS.TO</th>\n",
       "      <th>EIMI.L</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>IEUR</th>\n",
       "      <td>3.6700%</td>\n",
       "      <td>2.3800%</td>\n",
       "      <td>3.7600%</td>\n",
       "      <td>3.6300%</td>\n",
       "      <td>3.2000%</td>\n",
       "      <td>4.4600%</td>\n",
       "      <td>3.8700%</td>\n",
       "      <td>2.3200%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IPAC</th>\n",
       "      <td>2.3800%</td>\n",
       "      <td>2.4000%</td>\n",
       "      <td>2.3500%</td>\n",
       "      <td>2.3100%</td>\n",
       "      <td>2.4000%</td>\n",
       "      <td>2.7900%</td>\n",
       "      <td>2.4200%</td>\n",
       "      <td>1.8100%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IVV</th>\n",
       "      <td>3.7600%</td>\n",
       "      <td>2.3500%</td>\n",
       "      <td>4.6400%</td>\n",
       "      <td>4.0700%</td>\n",
       "      <td>3.3000%</td>\n",
       "      <td>5.4800%</td>\n",
       "      <td>4.3800%</td>\n",
       "      <td>2.4200%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EWC</th>\n",
       "      <td>3.6300%</td>\n",
       "      <td>2.3100%</td>\n",
       "      <td>4.0700%</td>\n",
       "      <td>4.2300%</td>\n",
       "      <td>3.2600%</td>\n",
       "      <td>4.9500%</td>\n",
       "      <td>4.6000%</td>\n",
       "      <td>2.3400%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SCZ</th>\n",
       "      <td>3.2000%</td>\n",
       "      <td>2.4000%</td>\n",
       "      <td>3.3000%</td>\n",
       "      <td>3.2600%</td>\n",
       "      <td>3.0100%</td>\n",
       "      <td>4.0200%</td>\n",
       "      <td>3.5400%</td>\n",
       "      <td>2.1500%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IJR</th>\n",
       "      <td>4.4600%</td>\n",
       "      <td>2.7900%</td>\n",
       "      <td>5.4800%</td>\n",
       "      <td>4.9500%</td>\n",
       "      <td>4.0200%</td>\n",
       "      <td>6.6900%</td>\n",
       "      <td>5.4100%</td>\n",
       "      <td>2.8600%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XCS.TO</th>\n",
       "      <td>3.8700%</td>\n",
       "      <td>2.4200%</td>\n",
       "      <td>4.3800%</td>\n",
       "      <td>4.6000%</td>\n",
       "      <td>3.5400%</td>\n",
       "      <td>5.4100%</td>\n",
       "      <td>5.1700%</td>\n",
       "      <td>2.5700%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EIMI.L</th>\n",
       "      <td>2.3200%</td>\n",
       "      <td>1.8100%</td>\n",
       "      <td>2.4200%</td>\n",
       "      <td>2.3400%</td>\n",
       "      <td>2.1500%</td>\n",
       "      <td>2.8600%</td>\n",
       "      <td>2.5700%</td>\n",
       "      <td>2.2300%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          IEUR    IPAC     IVV     EWC     SCZ     IJR  XCS.TO  EIMI.L\n",
       "IEUR   3.6700% 2.3800% 3.7600% 3.6300% 3.2000% 4.4600% 3.8700% 2.3200%\n",
       "IPAC   2.3800% 2.4000% 2.3500% 2.3100% 2.4000% 2.7900% 2.4200% 1.8100%\n",
       "IVV    3.7600% 2.3500% 4.6400% 4.0700% 3.3000% 5.4800% 4.3800% 2.4200%\n",
       "EWC    3.6300% 2.3100% 4.0700% 4.2300% 3.2600% 4.9500% 4.6000% 2.3400%\n",
       "SCZ    3.2000% 2.4000% 3.3000% 3.2600% 3.0100% 4.0200% 3.5400% 2.1500%\n",
       "IJR    4.4600% 2.7900% 5.4800% 4.9500% 4.0200% 6.6900% 5.4100% 2.8600%\n",
       "XCS.TO 3.8700% 2.4200% 4.3800% 4.6000% 3.5400% 5.4100% 5.1700% 2.5700%\n",
       "EIMI.L 2.3200% 1.8100% 2.4200% 2.3400% 2.1500% 2.8600% 2.5700% 2.2300%"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load our custom estimates of input parameters\n",
    "\n",
    "custom_cov = pd.read_excel('custom_posterior_cov.xlsx', engine='openpyxl', index_col=0)\n",
    "\n",
    "display(custom_cov)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import riskfolio as rp\n",
    "\n",
    "# Plotting Assets Clusters\n",
    "\n",
    "ax = rp.plot_dendrogram(returns=Y,\n",
    "                        custom_cov=custom_cov,\n",
    "                        codependence='custom_cov',\n",
    "                        linkage='ward',\n",
    "                        k=None,\n",
    "                        max_k=10,\n",
    "                        leaf_order=True,\n",
    "                        ax=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x1200 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting Assets Clusters\n",
    "\n",
    "ax = rp.plot_clusters(returns=Y,\n",
    "                      custom_cov=custom_cov,\n",
    "                      codependence='custom_cov',\n",
    "                      linkage='ward',\n",
    "                      k=None,\n",
    "                      max_k=10,\n",
    "                      leaf_order=True,\n",
    "                      dendrogram=True,\n",
    "                      #linecolor='tab:purple',\n",
    "                      ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Estimating HERC Portfolio\n",
    "\n",
    "This is the original model proposed by Raffinot (2018). Riskfolio-Lib expand this model to 14 risk measures.\n",
    "\n",
    "### 2.1 Calculating the HERC portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EIMI.L</th>\n",
       "      <th>EWC</th>\n",
       "      <th>IEUR</th>\n",
       "      <th>IJR</th>\n",
       "      <th>IPAC</th>\n",
       "      <th>IVV</th>\n",
       "      <th>SCZ</th>\n",
       "      <th>XCS.TO</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>weights</th>\n",
       "      <td>17.7993%</td>\n",
       "      <td>11.0915%</td>\n",
       "      <td>6.6854%</td>\n",
       "      <td>3.6675%</td>\n",
       "      <td>16.5386%</td>\n",
       "      <td>5.2878%</td>\n",
       "      <td>8.1513%</td>\n",
       "      <td>9.0749%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          EIMI.L      EWC    IEUR     IJR     IPAC     IVV     SCZ  XCS.TO\n",
       "weights 17.7993% 11.0915% 6.6854% 3.6675% 16.5386% 5.2878% 8.1513% 9.0749%"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Building the portfolio object\n",
    "port = rp.HCPortfolio(returns=Y)\n",
    "\n",
    "# Estimate optimal portfolio:\n",
    "\n",
    "model='HERC' # Could be HRP or HERC\n",
    "codependence = 'custom_cov' # Correlation matrix used to group assets in clusters\n",
    "method_cov = 'custom_cov'\n",
    "rm = 'MV' # Risk measure used, this time will be variance\n",
    "rf = 0 # Risk free rate\n",
    "linkage = 'ward' # Linkage method used to build clusters\n",
    "max_k = 10 # Max number of clusters used in two difference gap statistic\n",
    "leaf_order = True # Consider optimal order of leafs in dendrogram\n",
    "\n",
    "w = port.optimization(model=model,\n",
    "                      codependence=codependence,\n",
    "                      method_cov=method_cov,\n",
    "                      custom_cov=custom_cov,\n",
    "                      rm=rm,\n",
    "                      rf=rf,\n",
    "                      linkage=linkage,\n",
    "                      max_k=max_k,\n",
    "                      leaf_order=leaf_order)\n",
    "\n",
    "display(w.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Plotting portfolio composition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the composition of the portfolio\n",
    "\n",
    "ax = rp.plot_pie(w=w,\n",
    "                 title='HERC Naive Risk Parity with custom covariance',\n",
    "                 others=0.05,\n",
    "                 nrow=25,\n",
    "                 cmap=\"tab20\",\n",
    "                 height=8,\n",
    "                 width=10,\n",
    "                 ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 Plotting Risk Contribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the risk contribution per asset\n",
    "\n",
    "ax = rp.plot_risk_con(w=w,\n",
    "                      cov=custom_cov,\n",
    "                      returns=Y,\n",
    "                      rm=rm,\n",
    "                      rf=0,\n",
    "                      alpha=0.05,\n",
    "                      color=\"tab:blue\",\n",
    "                      height=6,\n",
    "                      width=10,\n",
    "                      t_factor=252,\n",
    "                      ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Estimating HERC Portfolio for Several Risk Measures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Risk Measures available:\n",
    "#\n",
    "# 'vol': Standard Deviation.\n",
    "# 'MV': Variance.\n",
    "# 'MAD': Mean Absolute Deviation.\n",
    "# 'MSV': Semi Standard Deviation.\n",
    "# 'FLPM': First Lower Partial Moment (Omega Ratio).\n",
    "# 'SLPM': Second Lower Partial Moment (Sortino Ratio).\n",
    "# 'VaR': Conditional Value at Risk.\n",
    "# 'CVaR': Conditional Value at Risk.\n",
    "# 'EVaR': Entropic Value at Risk.\n",
    "# 'WR': Worst Realization (Minimax)\n",
    "# 'MDD': Maximum Drawdown of uncompounded cumulative returns (Calmar Ratio).\n",
    "# 'ADD': Average Drawdown of uncompounded cumulative returns.\n",
    "# 'DaR': Drawdown at Risk of uncompounded cumulative returns.\n",
    "# 'CDaR': Conditional Drawdown at Risk of uncompounded cumulative returns.\n",
    "# 'EDaR': Entropic Drawdown at Risk of uncompounded cumulative returns.\n",
    "# 'UCI': Ulcer Index of uncompounded cumulative returns.\n",
    "# 'MDD_Rel': Maximum Drawdown of compounded cumulative returns (Calmar Ratio).\n",
    "# 'ADD_Rel': Average Drawdown of compounded cumulative returns.\n",
    "# 'DaR_Rel': Drawdown at Risk of compounded cumulative returns.\n",
    "# 'CDaR_Rel': Conditional Drawdown at Risk of compounded cumulative returns.\n",
    "# 'EDaR_Rel': Entropic Drawdown at Risk of compounded cumulative returns.\n",
    "# 'UCI_Rel': Ulcer Index of compounded cumulative returns.\n",
    "\n",
    "rms = ['vol', 'MV', 'MAD', 'MSV', 'FLPM', 'SLPM',\n",
    "       'VaR','CVaR', 'EVaR', 'WR', 'MDD', 'ADD',\n",
    "       'DaR', 'CDaR', 'EDaR', 'UCI', 'MDD_Rel', 'ADD_Rel',\n",
    "       'DaR_Rel', 'CDaR_Rel', 'EDaR_Rel', 'UCI_Rel']\n",
    "\n",
    "w_s = pd.DataFrame([])\n",
    "\n",
    "for i in rms:\n",
    "    w = port.optimization(model=model,\n",
    "                          codependence=codependence,\n",
    "                          method_cov=method_cov,\n",
    "                          custom_cov=custom_cov,\n",
    "                          rm=i,\n",
    "                          rf=rf,\n",
    "                          linkage=linkage,\n",
    "                          max_k=max_k,\n",
    "                          leaf_order=leaf_order)\n",
    "\n",
    "    w_s = pd.concat([w_s, w], axis=1)\n",
    "    \n",
    "w_s.columns = rms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
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       "#T_0289e_row1_col13, #T_0289e_row2_col10, #T_0289e_row2_col15, #T_0289e_row5_col3, #T_0289e_row6_col11 {\n",
       "  background-color: #fafdcb;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row1_col15, #T_0289e_row5_col1 {\n",
       "  background-color: #f8fcbd;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row1_col16, #T_0289e_row2_col14, #T_0289e_row6_col3, #T_0289e_row6_col9 {\n",
       "  background-color: #fcfed3;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row1_col17 {\n",
       "  background-color: #f8fcc0;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row1_col18 {\n",
       "  background-color: #f9fdc4;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row1_col19, #T_0289e_row3_col15, #T_0289e_row3_col21, #T_0289e_row5_col5, #T_0289e_row5_col6, #T_0289e_row6_col17 {\n",
       "  background-color: #fafdc9;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row1_col21 {\n",
       "  background-color: #f7fcba;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col0, #T_0289e_row5_col2 {\n",
       "  background-color: #f7fcb9;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col1, #T_0289e_row5_col20, #T_0289e_row7_col0 {\n",
       "  background-color: #e2f4aa;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col3, #T_0289e_row2_col7, #T_0289e_row6_col10, #T_0289e_row7_col16 {\n",
       "  background-color: #feffe1;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col4, #T_0289e_row7_col5 {\n",
       "  background-color: #fbfed2;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col5, #T_0289e_row6_col14 {\n",
       "  background-color: #ffffe4;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col6, #T_0289e_row2_col21, #T_0289e_row5_col0 {\n",
       "  background-color: #fafdcc;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col8, #T_0289e_row2_col9, #T_0289e_row3_col0, #T_0289e_row3_col1, #T_0289e_row3_col2, #T_0289e_row3_col3, #T_0289e_row3_col4, #T_0289e_row3_col5, #T_0289e_row3_col6, #T_0289e_row3_col7, #T_0289e_row3_col10, #T_0289e_row3_col16, #T_0289e_row6_col12, #T_0289e_row6_col13, #T_0289e_row6_col18, #T_0289e_row6_col19, #T_0289e_row7_col11, #T_0289e_row7_col12, #T_0289e_row7_col13, #T_0289e_row7_col14, #T_0289e_row7_col15, #T_0289e_row7_col17, #T_0289e_row7_col18, #T_0289e_row7_col19, #T_0289e_row7_col20, #T_0289e_row7_col21 {\n",
       "  background-color: #ffffe5;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col17 {\n",
       "  background-color: #f9fdc2;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col18, #T_0289e_row7_col2 {\n",
       "  background-color: #fdfedb;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row2_col20, #T_0289e_row3_col12, #T_0289e_row6_col5, #T_0289e_row6_col7 {\n",
       "  background-color: #fcfed4;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row3_col8 {\n",
       "  background-color: #e6f5ac;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row3_col9 {\n",
       "  background-color: #dcf1a5;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row3_col11 {\n",
       "  background-color: #f6fcb8;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row3_col14, #T_0289e_row7_col4 {\n",
       "  background-color: #feffdf;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row3_col17 {\n",
       "  background-color: #f5fbb8;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row3_col18 {\n",
       "  background-color: #fcfed7;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row3_col20, #T_0289e_row7_col10 {\n",
       "  background-color: #feffde;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row4_col0 {\n",
       "  background-color: #00522e;\n",
       "  color: #f1f1f1;\n",
       "}\n",
       "#T_0289e_row4_col1 {\n",
       "  background-color: #005d33;\n",
       "  color: #f1f1f1;\n",
       "}\n",
       "#T_0289e_row5_col4 {\n",
       "  background-color: #f3fab6;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col8 {\n",
       "  background-color: #ddf1a6;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col9 {\n",
       "  background-color: #cfec9e;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col10 {\n",
       "  background-color: #eef9b3;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col11, #T_0289e_row5_col17 {\n",
       "  background-color: #7fc97c;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col12 {\n",
       "  background-color: #c8e99b;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col13 {\n",
       "  background-color: #d3eda0;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col14 {\n",
       "  background-color: #e0f3a8;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col15, #T_0289e_row5_col21 {\n",
       "  background-color: #afde8f;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col16 {\n",
       "  background-color: #f2fab5;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col18 {\n",
       "  background-color: #cbea9c;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row5_col19 {\n",
       "  background-color: #d9f0a3;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row6_col0 {\n",
       "  background-color: #ebf7b0;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row6_col1 {\n",
       "  background-color: #c1e698;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row6_col4 {\n",
       "  background-color: #f9fdc7;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row6_col16, #T_0289e_row6_col20, #T_0289e_row7_col6 {\n",
       "  background-color: #feffe2;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row7_col1 {\n",
       "  background-color: #abdc8d;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row7_col8 {\n",
       "  background-color: #88cd7f;\n",
       "  color: #000000;\n",
       "}\n",
       "#T_0289e_row7_col9 {\n",
       "  background-color: #31974f;\n",
       "  color: #f1f1f1;\n",
       "}\n",
       "</style>\n",
       "<table id=\"T_0289e\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th class=\"blank level0\" >&nbsp;</th>\n",
       "      <th id=\"T_0289e_level0_col0\" class=\"col_heading level0 col0\" >vol</th>\n",
       "      <th id=\"T_0289e_level0_col1\" class=\"col_heading level0 col1\" >MV</th>\n",
       "      <th id=\"T_0289e_level0_col2\" class=\"col_heading level0 col2\" >MAD</th>\n",
       "      <th id=\"T_0289e_level0_col3\" class=\"col_heading level0 col3\" >MSV</th>\n",
       "      <th id=\"T_0289e_level0_col4\" class=\"col_heading level0 col4\" >FLPM</th>\n",
       "      <th id=\"T_0289e_level0_col5\" class=\"col_heading level0 col5\" >SLPM</th>\n",
       "      <th id=\"T_0289e_level0_col6\" class=\"col_heading level0 col6\" >VaR</th>\n",
       "      <th id=\"T_0289e_level0_col7\" class=\"col_heading level0 col7\" >CVaR</th>\n",
       "      <th id=\"T_0289e_level0_col8\" class=\"col_heading level0 col8\" >EVaR</th>\n",
       "      <th id=\"T_0289e_level0_col9\" class=\"col_heading level0 col9\" >WR</th>\n",
       "      <th id=\"T_0289e_level0_col10\" class=\"col_heading level0 col10\" >MDD</th>\n",
       "      <th id=\"T_0289e_level0_col11\" class=\"col_heading level0 col11\" >ADD</th>\n",
       "      <th id=\"T_0289e_level0_col12\" class=\"col_heading level0 col12\" >DaR</th>\n",
       "      <th id=\"T_0289e_level0_col13\" class=\"col_heading level0 col13\" >CDaR</th>\n",
       "      <th id=\"T_0289e_level0_col14\" class=\"col_heading level0 col14\" >EDaR</th>\n",
       "      <th id=\"T_0289e_level0_col15\" class=\"col_heading level0 col15\" >UCI</th>\n",
       "      <th id=\"T_0289e_level0_col16\" class=\"col_heading level0 col16\" >MDD_Rel</th>\n",
       "      <th id=\"T_0289e_level0_col17\" class=\"col_heading level0 col17\" >ADD_Rel</th>\n",
       "      <th id=\"T_0289e_level0_col18\" class=\"col_heading level0 col18\" >DaR_Rel</th>\n",
       "      <th id=\"T_0289e_level0_col19\" class=\"col_heading level0 col19\" >CDaR_Rel</th>\n",
       "      <th id=\"T_0289e_level0_col20\" class=\"col_heading level0 col20\" >EDaR_Rel</th>\n",
       "      <th id=\"T_0289e_level0_col21\" class=\"col_heading level0 col21\" >UCI_Rel</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th id=\"T_0289e_level0_row0\" class=\"row_heading level0 row0\" >EIMI.L</th>\n",
       "      <td id=\"T_0289e_row0_col0\" class=\"data row0 col0\" >21.18%</td>\n",
       "      <td id=\"T_0289e_row0_col1\" class=\"data row0 col1\" >17.80%</td>\n",
       "      <td id=\"T_0289e_row0_col2\" class=\"data row0 col2\" >21.69%</td>\n",
       "      <td id=\"T_0289e_row0_col3\" class=\"data row0 col3\" >21.43%</td>\n",
       "      <td id=\"T_0289e_row0_col4\" class=\"data row0 col4\" >21.84%</td>\n",
       "      <td id=\"T_0289e_row0_col5\" class=\"data row0 col5\" >21.47%</td>\n",
       "      <td id=\"T_0289e_row0_col6\" class=\"data row0 col6\" >20.81%</td>\n",
       "      <td id=\"T_0289e_row0_col7\" class=\"data row0 col7\" >21.71%</td>\n",
       "      <td id=\"T_0289e_row0_col8\" class=\"data row0 col8\" >19.80%</td>\n",
       "      <td id=\"T_0289e_row0_col9\" class=\"data row0 col9\" >17.87%</td>\n",
       "      <td id=\"T_0289e_row0_col10\" class=\"data row0 col10\" >23.32%</td>\n",
       "      <td id=\"T_0289e_row0_col11\" class=\"data row0 col11\" >22.67%</td>\n",
       "      <td id=\"T_0289e_row0_col12\" class=\"data row0 col12\" >21.14%</td>\n",
       "      <td id=\"T_0289e_row0_col13\" class=\"data row0 col13\" >21.58%</td>\n",
       "      <td id=\"T_0289e_row0_col14\" class=\"data row0 col14\" >22.27%</td>\n",
       "      <td id=\"T_0289e_row0_col15\" class=\"data row0 col15\" >21.19%</td>\n",
       "      <td id=\"T_0289e_row0_col16\" class=\"data row0 col16\" >23.39%</td>\n",
       "      <td id=\"T_0289e_row0_col17\" class=\"data row0 col17\" >22.59%</td>\n",
       "      <td id=\"T_0289e_row0_col18\" class=\"data row0 col18\" >20.84%</td>\n",
       "      <td id=\"T_0289e_row0_col19\" class=\"data row0 col19\" >21.59%</td>\n",
       "      <td id=\"T_0289e_row0_col20\" class=\"data row0 col20\" >22.29%</td>\n",
       "      <td id=\"T_0289e_row0_col21\" class=\"data row0 col21\" >21.07%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_0289e_level0_row1\" class=\"row_heading level0 row1\" >EWC</th>\n",
       "      <td id=\"T_0289e_row1_col0\" class=\"data row1 col0\" >9.88%</td>\n",
       "      <td id=\"T_0289e_row1_col1\" class=\"data row1 col1\" >11.09%</td>\n",
       "      <td id=\"T_0289e_row1_col2\" class=\"data row1 col2\" >7.95%</td>\n",
       "      <td id=\"T_0289e_row1_col3\" class=\"data row1 col3\" >8.73%</td>\n",
       "      <td id=\"T_0289e_row1_col4\" class=\"data row1 col4\" >7.90%</td>\n",
       "      <td id=\"T_0289e_row1_col5\" class=\"data row1 col5\" >8.76%</td>\n",
       "      <td id=\"T_0289e_row1_col6\" class=\"data row1 col6\" >8.19%</td>\n",
       "      <td id=\"T_0289e_row1_col7\" class=\"data row1 col7\" >8.82%</td>\n",
       "      <td id=\"T_0289e_row1_col8\" class=\"data row1 col8\" >12.35%</td>\n",
       "      <td id=\"T_0289e_row1_col9\" class=\"data row1 col9\" >14.19%</td>\n",
       "      <td id=\"T_0289e_row1_col10\" class=\"data row1 col10\" >8.57%</td>\n",
       "      <td id=\"T_0289e_row1_col11\" class=\"data row1 col11\" >7.55%</td>\n",
       "      <td id=\"T_0289e_row1_col12\" class=\"data row1 col12\" >8.92%</td>\n",
       "      <td id=\"T_0289e_row1_col13\" class=\"data row1 col13\" >8.71%</td>\n",
       "      <td id=\"T_0289e_row1_col14\" class=\"data row1 col14\" >8.58%</td>\n",
       "      <td id=\"T_0289e_row1_col15\" class=\"data row1 col15\" >8.75%</td>\n",
       "      <td id=\"T_0289e_row1_col16\" class=\"data row1 col16\" >8.55%</td>\n",
       "      <td id=\"T_0289e_row1_col17\" class=\"data row1 col17\" >7.62%</td>\n",
       "      <td id=\"T_0289e_row1_col18\" class=\"data row1 col18\" >8.96%</td>\n",
       "      <td id=\"T_0289e_row1_col19\" class=\"data row1 col19\" >8.75%</td>\n",
       "      <td id=\"T_0289e_row1_col20\" class=\"data row1 col20\" >8.61%</td>\n",
       "      <td id=\"T_0289e_row1_col21\" class=\"data row1 col21\" >8.87%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_0289e_level0_row2\" class=\"row_heading level0 row2\" >IEUR</th>\n",
       "      <td id=\"T_0289e_row2_col0\" class=\"data row2 col0\" >7.55%</td>\n",
       "      <td id=\"T_0289e_row2_col1\" class=\"data row2 col1\" >6.69%</td>\n",
       "      <td id=\"T_0289e_row2_col2\" class=\"data row2 col2\" >8.54%</td>\n",
       "      <td id=\"T_0289e_row2_col3\" class=\"data row2 col3\" >7.66%</td>\n",
       "      <td id=\"T_0289e_row2_col4\" class=\"data row2 col4\" >8.47%</td>\n",
       "      <td id=\"T_0289e_row2_col5\" class=\"data row2 col5\" >7.59%</td>\n",
       "      <td id=\"T_0289e_row2_col6\" class=\"data row2 col6\" >8.95%</td>\n",
       "      <td id=\"T_0289e_row2_col7\" class=\"data row2 col7\" >7.83%</td>\n",
       "      <td id=\"T_0289e_row2_col8\" class=\"data row2 col8\" >3.75%</td>\n",
       "      <td id=\"T_0289e_row2_col9\" class=\"data row2 col9\" >2.75%</td>\n",
       "      <td id=\"T_0289e_row2_col10\" class=\"data row2 col10\" >8.87%</td>\n",
       "      <td id=\"T_0289e_row2_col11\" class=\"data row2 col11\" >7.52%</td>\n",
       "      <td id=\"T_0289e_row2_col12\" class=\"data row2 col12\" >7.32%</td>\n",
       "      <td id=\"T_0289e_row2_col13\" class=\"data row2 col13\" >7.70%</td>\n",
       "      <td id=\"T_0289e_row2_col14\" class=\"data row2 col14\" >8.34%</td>\n",
       "      <td id=\"T_0289e_row2_col15\" class=\"data row2 col15\" >7.59%</td>\n",
       "      <td id=\"T_0289e_row2_col16\" class=\"data row2 col16\" >8.74%</td>\n",
       "      <td id=\"T_0289e_row2_col17\" class=\"data row2 col17\" >7.32%</td>\n",
       "      <td id=\"T_0289e_row2_col18\" class=\"data row2 col18\" >7.31%</td>\n",
       "      <td id=\"T_0289e_row2_col19\" class=\"data row2 col19\" >7.70%</td>\n",
       "      <td id=\"T_0289e_row2_col20\" class=\"data row2 col20\" >8.23%</td>\n",
       "      <td id=\"T_0289e_row2_col21\" class=\"data row2 col21\" >7.45%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_0289e_level0_row3\" class=\"row_heading level0 row3\" >IJR</th>\n",
       "      <td id=\"T_0289e_row3_col0\" class=\"data row3 col0\" >5.59%</td>\n",
       "      <td id=\"T_0289e_row3_col1\" class=\"data row3 col1\" >3.67%</td>\n",
       "      <td id=\"T_0289e_row3_col2\" class=\"data row3 col2\" >7.10%</td>\n",
       "      <td id=\"T_0289e_row3_col3\" class=\"data row3 col3\" >7.38%</td>\n",
       "      <td id=\"T_0289e_row3_col4\" class=\"data row3 col4\" >7.15%</td>\n",
       "      <td id=\"T_0289e_row3_col5\" class=\"data row3 col5\" >7.43%</td>\n",
       "      <td id=\"T_0289e_row3_col6\" class=\"data row3 col6\" >7.29%</td>\n",
       "      <td id=\"T_0289e_row3_col7\" class=\"data row3 col7\" >7.52%</td>\n",
       "      <td id=\"T_0289e_row3_col8\" class=\"data row3 col8\" >7.41%</td>\n",
       "      <td id=\"T_0289e_row3_col9\" class=\"data row3 col9\" >6.72%</td>\n",
       "      <td id=\"T_0289e_row3_col10\" class=\"data row3 col10\" >7.23%</td>\n",
       "      <td id=\"T_0289e_row3_col11\" class=\"data row3 col11\" >8.45%</td>\n",
       "      <td id=\"T_0289e_row3_col12\" class=\"data row3 col12\" >7.71%</td>\n",
       "      <td id=\"T_0289e_row3_col13\" class=\"data row3 col13\" >7.67%</td>\n",
       "      <td id=\"T_0289e_row3_col14\" class=\"data row3 col14\" >7.49%</td>\n",
       "      <td id=\"T_0289e_row3_col15\" class=\"data row3 col15\" >7.77%</td>\n",
       "      <td id=\"T_0289e_row3_col16\" class=\"data row3 col16\" >7.43%</td>\n",
       "      <td id=\"T_0289e_row3_col17\" class=\"data row3 col17\" >8.42%</td>\n",
       "      <td id=\"T_0289e_row3_col18\" class=\"data row3 col18\" >7.64%</td>\n",
       "      <td id=\"T_0289e_row3_col19\" class=\"data row3 col19\" >7.69%</td>\n",
       "      <td id=\"T_0289e_row3_col20\" class=\"data row3 col20\" >7.60%</td>\n",
       "      <td id=\"T_0289e_row3_col21\" class=\"data row3 col21\" >7.71%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_0289e_level0_row4\" class=\"row_heading level0 row4\" >IPAC</th>\n",
       "      <td id=\"T_0289e_row4_col0\" class=\"data row4 col0\" >20.41%</td>\n",
       "      <td id=\"T_0289e_row4_col1\" class=\"data row4 col1\" >16.54%</td>\n",
       "      <td id=\"T_0289e_row4_col2\" class=\"data row4 col2\" >29.77%</td>\n",
       "      <td id=\"T_0289e_row4_col3\" class=\"data row4 col3\" >28.27%</td>\n",
       "      <td id=\"T_0289e_row4_col4\" class=\"data row4 col4\" >30.03%</td>\n",
       "      <td id=\"T_0289e_row4_col5\" class=\"data row4 col5\" >28.26%</td>\n",
       "      <td id=\"T_0289e_row4_col6\" class=\"data row4 col6\" >30.34%</td>\n",
       "      <td id=\"T_0289e_row4_col7\" class=\"data row4 col7\" >27.64%</td>\n",
       "      <td id=\"T_0289e_row4_col8\" class=\"data row4 col8\" >22.14%</td>\n",
       "      <td id=\"T_0289e_row4_col9\" class=\"data row4 col9\" >19.16%</td>\n",
       "      <td id=\"T_0289e_row4_col10\" class=\"data row4 col10\" >28.87%</td>\n",
       "      <td id=\"T_0289e_row4_col11\" class=\"data row4 col11\" >37.56%</td>\n",
       "      <td id=\"T_0289e_row4_col12\" class=\"data row4 col12\" >33.27%</td>\n",
       "      <td id=\"T_0289e_row4_col13\" class=\"data row4 col13\" >31.89%</td>\n",
       "      <td id=\"T_0289e_row4_col14\" class=\"data row4 col14\" >30.84%</td>\n",
       "      <td id=\"T_0289e_row4_col15\" class=\"data row4 col15\" >34.57%</td>\n",
       "      <td id=\"T_0289e_row4_col16\" class=\"data row4 col16\" >28.32%</td>\n",
       "      <td id=\"T_0289e_row4_col17\" class=\"data row4 col17\" >36.39%</td>\n",
       "      <td id=\"T_0289e_row4_col18\" class=\"data row4 col18\" >32.28%</td>\n",
       "      <td id=\"T_0289e_row4_col19\" class=\"data row4 col19\" >31.03%</td>\n",
       "      <td id=\"T_0289e_row4_col20\" class=\"data row4 col20\" >30.13%</td>\n",
       "      <td id=\"T_0289e_row4_col21\" class=\"data row4 col21\" >33.72%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_0289e_level0_row5\" class=\"row_heading level0 row5\" >IVV</th>\n",
       "      <td id=\"T_0289e_row5_col0\" class=\"data row5 col0\" >6.72%</td>\n",
       "      <td id=\"T_0289e_row5_col1\" class=\"data row5 col1\" >5.29%</td>\n",
       "      <td id=\"T_0289e_row5_col2\" class=\"data row5 col2\" >9.93%</td>\n",
       "      <td id=\"T_0289e_row5_col3\" class=\"data row5 col3\" >9.00%</td>\n",
       "      <td id=\"T_0289e_row5_col4\" class=\"data row5 col4\" >10.37%</td>\n",
       "      <td id=\"T_0289e_row5_col5\" class=\"data row5 col5\" >9.09%</td>\n",
       "      <td id=\"T_0289e_row5_col6\" class=\"data row5 col6\" >9.13%</td>\n",
       "      <td id=\"T_0289e_row5_col7\" class=\"data row5 col7\" >8.29%</td>\n",
       "      <td id=\"T_0289e_row5_col8\" class=\"data row5 col8\" >8.10%</td>\n",
       "      <td id=\"T_0289e_row5_col9\" class=\"data row5 col9\" >7.33%</td>\n",
       "      <td id=\"T_0289e_row5_col10\" class=\"data row5 col10\" >10.75%</td>\n",
       "      <td id=\"T_0289e_row5_col11\" class=\"data row5 col11\" >20.14%</td>\n",
       "      <td id=\"T_0289e_row5_col12\" class=\"data row5 col12\" >14.51%</td>\n",
       "      <td id=\"T_0289e_row5_col13\" class=\"data row5 col13\" >13.49%</td>\n",
       "      <td id=\"T_0289e_row5_col14\" class=\"data row5 col14\" >12.34%</td>\n",
       "      <td id=\"T_0289e_row5_col15\" class=\"data row5 col15\" >16.17%</td>\n",
       "      <td id=\"T_0289e_row5_col16\" class=\"data row5 col16\" >10.48%</td>\n",
       "      <td id=\"T_0289e_row5_col17\" class=\"data row5 col17\" >19.70%</td>\n",
       "      <td id=\"T_0289e_row5_col18\" class=\"data row5 col18\" >14.03%</td>\n",
       "      <td id=\"T_0289e_row5_col19\" class=\"data row5 col19\" >12.96%</td>\n",
       "      <td id=\"T_0289e_row5_col20\" class=\"data row5 col20\" >11.98%</td>\n",
       "      <td id=\"T_0289e_row5_col21\" class=\"data row5 col21\" >15.88%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_0289e_level0_row6\" class=\"row_heading level0 row6\" >SCZ</th>\n",
       "      <td id=\"T_0289e_row6_col0\" class=\"data row6 col0\" >8.34%</td>\n",
       "      <td id=\"T_0289e_row6_col1\" class=\"data row6 col1\" >8.15%</td>\n",
       "      <td id=\"T_0289e_row6_col2\" class=\"data row6 col2\" >9.21%</td>\n",
       "      <td id=\"T_0289e_row6_col3\" class=\"data row6 col3\" >8.51%</td>\n",
       "      <td id=\"T_0289e_row6_col4\" class=\"data row6 col4\" >9.21%</td>\n",
       "      <td id=\"T_0289e_row6_col5\" class=\"data row6 col5\" >8.47%</td>\n",
       "      <td id=\"T_0289e_row6_col6\" class=\"data row6 col6\" >9.36%</td>\n",
       "      <td id=\"T_0289e_row6_col7\" class=\"data row6 col7\" >8.53%</td>\n",
       "      <td id=\"T_0289e_row6_col8\" class=\"data row6 col8\" >4.88%</td>\n",
       "      <td id=\"T_0289e_row6_col9\" class=\"data row6 col9\" >3.62%</td>\n",
       "      <td id=\"T_0289e_row6_col10\" class=\"data row6 col10\" >7.56%</td>\n",
       "      <td id=\"T_0289e_row6_col11\" class=\"data row6 col11\" >6.60%</td>\n",
       "      <td id=\"T_0289e_row6_col12\" class=\"data row6 col12\" >6.45%</td>\n",
       "      <td id=\"T_0289e_row6_col13\" class=\"data row6 col13\" >6.81%</td>\n",
       "      <td id=\"T_0289e_row6_col14\" class=\"data row6 col14\" >7.22%</td>\n",
       "      <td id=\"T_0289e_row6_col15\" class=\"data row6 col15\" >6.42%</td>\n",
       "      <td id=\"T_0289e_row6_col16\" class=\"data row6 col16\" >7.65%</td>\n",
       "      <td id=\"T_0289e_row6_col17\" class=\"data row6 col17\" >6.69%</td>\n",
       "      <td id=\"T_0289e_row6_col18\" class=\"data row6 col18\" >6.60%</td>\n",
       "      <td id=\"T_0289e_row6_col19\" class=\"data row6 col19\" >6.94%</td>\n",
       "      <td id=\"T_0289e_row6_col20\" class=\"data row6 col20\" >7.29%</td>\n",
       "      <td id=\"T_0289e_row6_col21\" class=\"data row6 col21\" >6.47%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_0289e_level0_row7\" class=\"row_heading level0 row7\" >XCS.TO</th>\n",
       "      <td id=\"T_0289e_row7_col0\" class=\"data row7 col0\" >8.93%</td>\n",
       "      <td id=\"T_0289e_row7_col1\" class=\"data row7 col1\" >9.07%</td>\n",
       "      <td id=\"T_0289e_row7_col2\" class=\"data row7 col2\" >7.78%</td>\n",
       "      <td id=\"T_0289e_row7_col3\" class=\"data row7 col3\" >8.63%</td>\n",
       "      <td id=\"T_0289e_row7_col4\" class=\"data row7 col4\" >7.57%</td>\n",
       "      <td id=\"T_0289e_row7_col5\" class=\"data row7 col5\" >8.58%</td>\n",
       "      <td id=\"T_0289e_row7_col6\" class=\"data row7 col6\" >7.50%</td>\n",
       "      <td id=\"T_0289e_row7_col7\" class=\"data row7 col7\" >8.80%</td>\n",
       "      <td id=\"T_0289e_row7_col8\" class=\"data row7 col8\" >12.28%</td>\n",
       "      <td id=\"T_0289e_row7_col9\" class=\"data row7 col9\" >14.04%</td>\n",
       "      <td id=\"T_0289e_row7_col10\" class=\"data row7 col10\" >7.72%</td>\n",
       "      <td id=\"T_0289e_row7_col11\" class=\"data row7 col11\" >4.01%</td>\n",
       "      <td id=\"T_0289e_row7_col12\" class=\"data row7 col12\" >6.52%</td>\n",
       "      <td id=\"T_0289e_row7_col13\" class=\"data row7 col13\" >6.77%</td>\n",
       "      <td id=\"T_0289e_row7_col14\" class=\"data row7 col14\" >7.07%</td>\n",
       "      <td id=\"T_0289e_row7_col15\" class=\"data row7 col15\" >5.37%</td>\n",
       "      <td id=\"T_0289e_row7_col16\" class=\"data row7 col16\" >7.71%</td>\n",
       "      <td id=\"T_0289e_row7_col17\" class=\"data row7 col17\" >4.10%</td>\n",
       "      <td id=\"T_0289e_row7_col18\" class=\"data row7 col18\" >6.53%</td>\n",
       "      <td id=\"T_0289e_row7_col19\" class=\"data row7 col19\" >6.85%</td>\n",
       "      <td id=\"T_0289e_row7_col20\" class=\"data row7 col20\" >7.10%</td>\n",
       "      <td id=\"T_0289e_row7_col21\" class=\"data row7 col21\" >5.38%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x313c5a090>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w_s.style.format(\"{:.2%}\").background_gradient(cmap='YlGn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x3134ee790>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1400x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Plotting a comparison of assets weights for each portfolio\n",
    "\n",
    "fig = plt.gcf()\n",
    "fig.set_figwidth(14)\n",
    "fig.set_figheight(6)\n",
    "ax = fig.subplots(nrows=1, ncols=1)\n",
    "\n",
    "w_s.plot.bar(ax=ax)\n",
    "plt.legend(loc='lower right')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
